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Research Papers

Modified Finite Element Transfer Matrix Method for Eigenvalue Problem of Flexible Structures

[+] Author and Article Information
Bao Rong

Institute of Launch Dynamics, Nanjing University of Science and Technology, Nanjing 210094, P. R. Chinarongbao_nust@sina.com

Xiaoting Rui

Institute of Launch Dynamics, Nanjing University of Science and Technology, Nanjing 210094, P. R. Chinaruixt@163.net

Guoping Wang

Institute of Launch Dynamics, Nanjing University of Science and Technology, Nanjing 210094, P. R. Chinawgp1976@163.com

J. Appl. Mech 78(2), 021016 (Nov 10, 2010) (7 pages) doi:10.1115/1.4002578 History: Received March 21, 2010; Revised September 06, 2010; Posted September 17, 2010; Published November 10, 2010; Online November 10, 2010

The speedy computation of eigenvalue problems is the key point in structure dynamics. In this paper, by combining transfer matrix method and finite element method, the modified finite element-transfer matrix method and its algorithm for eigenvalue problems are presented. By using this method, the speedy computation of eigenvalue problem of flexible structures can be realized, and the repeated eignvalue problem can be solved simply and conveniently. This method has the low order of system matrix, high computational efficiency, and stability. Formulations of this method, as well as some numerical examples, are given to validate the method.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Rectangular plate and its finite element meshing

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Figure 2

Sketch map of the value of the characteristic determinant with respect to the natural frequency

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Figure 3

The flow chart for algorithm of the eigenvalue problem

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Figure 4

Trapeziform plate and its finite element meshing

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Figure 5

Plane wing model and its finite element meshing

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Figure 6

Mode shape of the plane wing model

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